FIG. 1 is a top perspective view for a button razor handle showing my new design;

FIG. 2 is a top plan view thereof;

FIG. 3 is a left side elevational view, the right side elevational view being a mirror image thereof; and,

FIG. 4 is a front elevation view thereof.

The broken lines showing the razor handle and cartridge are for illustrative purposes only and form no part of the claimed design.